Number 1
Simplify: −5 + (−7).
−12
Write the ratio 3 : 12 in its simplest form.
1 : 4
Evaluate 2x + 3 when x = 5.
13
Factorise: x² + 7x + 10.
(x + 5)(x + 2)
Simplify 3x/6x
½
The 5th term of the sequence 2, 5, 8, 11, … ?
14
On a map, 1 cm = 5 km. What real distance does 8 cm represent?
40 km
Simplify: 3(a + 4) − 2(a − 1).
a + 14
Solve: x² − 9 = 0.
x = 3, −3
Make x the subject: y = 3x + 5.
x = (y − 5)/3
Round 4.6789 to 2 decimal places.
4.68
Increase ₹800 by 15%.
₹920
Solve: 5x − 7 = 18.
x = 5
Factorise: 2x² − 8x.
2x(x − 4)
If y ∝ x and y = 12 when x = 4, find y when x = 9.
y = 27
Write 0.00045 in standard form.
4.5 × 10⁻⁴
A T-shirt costs ₹600 and is sold for ₹720. Find the profit %.
20%
Solve: 2x + 3 = x + 9.
x = 6
Solve: x² + 4x − 21 = 0.
x = 3, −7
(x2)3 x (x)4
x10
Simplify √50.
5√2
A car travels 240 km in 3 hours. Find its average speed in m/s.
22.2 m/s (≈ 22 m/s)
Solve the system: 2x + y = 7 and y - x = 1.
x = 2, y = 3
The product of two consecutive numbers is 132. Form an equation and find the numbers.
x(x + 1) = 132 → x = 11 → numbers = 11, 12
If a ∝ b² and a = 20 when b = 2, find b when a = 45.
b = 3